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Finding the Third Proportional to 116,527.50 and 176,366.25

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Solution

The third proportional to 116,527.50 and 176,366.25 is: 266,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,527.50 : 176,366.25 = 176,366.25 : x
  2. Step 2: Convert to fraction form
    116,527.50/176,366.25 = 176,366.25/x
  3. Step 3: Cross multiply
    116,527.50x = 176,366.25 × 176,366.25
  4. Step 4: Simplify right side
    116,527.50x = 31,105,054,139.06
  5. Step 5: Solve for x
    x = 31,105,054,139.06/116,527.50
  6. Step 6: Final answer
    x = 266,933.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.